Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
Answer:
x=83. please look below for explanation. if anything isn't clear, please ask
Step-by-step explanation:
so complementary means adding up to 90 degrees in math. in this particular equation, you have to make sure that both (x-18) and 25 add up to 90.
if that other side is 25 degrees, the other side must be 65 because 90-25=65.
so now you have to set those equal to each other like this:
65 = (x-18) now just solve for x
add the 18 to the other side. the -18 and +18 cancel.
x=83
so to test and to see if that is right, we can do
83-18 = 65
does 65+25 equal 90? yes
therefore, x=83
The rate of ascent is also known as the slope. To find the slope, we will follow the steps below.
Step 1) Choose two points on the line
Point 1: (4, 500)
Point 2: (8, 1000)
Step 2) Use the slope formula to find the slope
m = (y2 - y1) / (x2 - x1)
m = (1000 - 500) / (8 - 4)
m = 500 / 4
m = 125 feet per minute
Hope this helps! :)
